What is the domain of f(x)=(x+5)/(15+sqrt(x^2-64)) ?

The domain of f(x)=(x+5)/(15+sqrt(x^2-64)) is x = 8

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domain of f(x)=(x+5)/(15+sqrt(x^2-64))

domain

f (x) = \frac{x + 5}{15 + x ^{2} - 64}

x \leq - 8 or x \geq 8

Interval Notation

(- \infty, - 8] \cup [8, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 8 or x \geq 8

The function domain

x \leq - 8 or x \geq 8

(- 5, 1), (7, 8)

f (x) = 4 - 6 x^{2}

\frac{x ( x + 5 )}{7}

x

y = \frac{3}{5} x + \frac{4}{7}

What is the domain of f(x)=(x+5)/(15+sqrt(x^2-64)) ?
The domain of f(x)=(x+5)/(15+sqrt(x^2-64)) is x<=-8\lor x>= 8